Question

A uniform rod AB has mass M and length L. It is in equilibrium supported in vertical plane by three identical springs as shown in figure. The springs are connected at A, C and D such that `AC = CD = (L)/(3)`. Assume that the springs are very stiff and the angle a made by the rod with the horizontal in equilibrium position is very small. (All springs are nearly vertical). Calculate the tension in the three springs.

Answer 1

Correct Answer - `T_(1) = (Mg)/(12); T_(2) = (Mg)/(3); T_(3) = (7 Mg)/(12)`